Answer:
[tex]A = 1750(1.06)^{t}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is time (in years)Step-by-step explanation:
Step 1: Define
Given
Principle Amount = $1750
r = 6% = 0.06
n = 1 (compounded annually)
Step 2: Write function
Substitute into formula
Substitute [CIR]: [tex]A = 1750(1 + \frac{0.06}{1} )^{1t}[/tex](Parenthesis) Divide: [tex]A = 1750(1 + 0.06)^{1t}[/tex](Exponents) Multiply: [tex]A = 1750(1 + 0.06)^{t}[/tex](Parenthesis) Add: [tex]A = 1750(1.06)^{t}[/tex]This equation tells us how much money A the investment has gained over t years.
1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon?
2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas?
3.Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
plz show the work
Answer: 1. $3.85
2. $1.55
3. 7/12
Step-by-step explanation:
1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.
2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.
3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12. 1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12
burritos are on the sale for 30% off. Your favorite burrito normally costs $8.50. how much does it cost now?
Answer:
5$
Step-by-step explanation:
70%x8.50 equalss 5$
$8.5− 30
/100 = 41
/5
(Decimal: 8.2)
Which is a solution for the equation 3x + 13 = 73?
Answer:
x=20
Step-by-step explanation:
73-13=60
60÷3=20
Answer:
x = 20
Step-by-step explanation:
3x + 13 = 73
3x = 73 - 13
3x = 60
x = 60 : 3
x = 20
What is the value of x?
B
80°
Enter your answer in the box.
x=
Х
А
55°
с
Answer:
x = 45
Step-by-step explanation:
The sum of the angles of a triangle is 180
80+55+x = 180
135 +x = 180
Subtract 135 from each side
x = 180-135
x =45
Answer:
45
Step-by-step explanation:
combining the a and b lengths gives you 135 then subtract by 180 and you get 45.
Please help, need an answer ASAP!
Answer:
6, -7
Step-by-step explanation:
when I followed those instructions, that's what i got.
:)
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.
P = 1.50n – 500
How many candy bars must be sold to make a profit of $400?
Answer:
600 candy bars must be sold to make a profit of $400
Step-by-step explanation:
Answer:
i have no clue
Step-by-step explanation:
Select the correct answer from the drop-down menu.
Find the polynomial.
2(3y − 1)(y − 3) is the factored form of .
Answer:
6y² - 20y + 6
Step-by-step explanation:
Use FOIL method
(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)
= 3y²- 9y - y + 3 {add the like terms}
= 3y² - 10y + 3
2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)
= 2*3y² - 2*10y + 2*3
= 6y² - 20y + 6
seven subtracted from c is less than -16
Since this question is asking for an inequality formula, let's get started.
Seven subtracted from c=c-7 (it is NOT 7-c because then it would ask c subtracted by seven)
Less than means that the c-7 is less than -16, so it would face this way <
The final answer is c-7<-16
Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.
please help and get it right its worth 25 points pleaseee dont get it wrong! Thank you
Answer:
option one :)
20 characters blah blah blah
answer 1 is correct
Step-by-step explanation: hope this helps
HELP WITH THIS QUESTION???
Answer:
The range is 9 i think I'm not sure.
step-by-step explanation:
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
I need help with this please!!
Answer:
5
Step-by-step explanation:
The hypotenuse is the longest side of the triangle.
Answer:
5
Step-by-step explanation:
The hypotenuse is generally the longest side of a right triangle.
Can somebody explain step by step ?
Answer:
[tex]3m\sqrt[5]{2m^4p^4}[/tex]
Step-by-step explanation:
We want to find the fifth root of [tex]486m^9p^4[/tex]. In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 * [tex]3^5[/tex]
Ah, we see that [tex]3^5[/tex] can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus: [tex]3m\sqrt[5]{2m^4p^4}[/tex].
~ an aesthetics lover
Find the slope of the line passing through these points: (5,2) and (-10,12)
Plz help
A)-3/2
B)-2/3
C)3/2
D)2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line is found by
m= (y2-y1)/(x2-x1)
= (12-2)/(-10 -5)
= 10/-15
= -2/3
A cube has a volume of 8 cubic feet. What is the length of the cube?
Answer:
The side length is 2 ft
Step-by-step explanation:
A cube has a volume of
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^1/3
2 = s
The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.
Answer:
8 feet
Step-by-step explanation:
Hello, I can help you with this.
the volume of a sphere is given by.
[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]
Step one
isolate radius
[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]
According to the question the volume is 267.95 cubic feet , and pi= 3.14
put this values into the equation
let
volume =267.95
pi=3.14
[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]
so the radius of the beach ball is 4 feet, but we need its diameter
Diameter=2* radius
radius=4 feet
Diameter= 4 feet*2
Diameter=8 feet
what a big ball¡¡
I hope it helps, have a great day.
Find the volume of the oblique rectangular prism with length 8 cm, width 7 cm, and height 9 cm.
Answer:
48
Step-by-step explanation:
2 x 8 + 2 x 7 + 2 x 9 = 48
HOPE IT HELPS!!!!
Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help
Answer:
C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
Step-by-step explanation:
Just took assignment.
Answer:
C
Step-by-step explanation:
c
A shirt is priced at $24.95. If you have a coupon for 30% off, how much does the shirt cost after the coupon is applied?
The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down
Answer:
2 units up
Step-by-step explanation:
You're just taking the entire graph of cos(x) and then adding 2 so it moves everything up. If you added 2 to x BEFORE taking the cosine
(like y = cos (x+2) ), then you would shift it left 2. Adding and subtracting from the x moves everything left or right. Adding or subtracting at the end just moves it up and down.
The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.
Here, The function is,
⇒ y = cos x
Now, After translate 2 units up, we get;
⇒ y = cos x + 2
Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
Learn more about the transformation visit:
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1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
Complete the equation of the line through (−10,3) (−8,−8). Use exact numbers. y=
Answer:
y = -11/2x - 52
Step-by-step explanation:
Now follow the equation for slope: m = change in y / change in x.
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{-8-3}{-8--10}[/tex]
[tex]\frac{-11}{2}[/tex]
The slope is -11/2. m=-11/2
Use slope-intercept form:
y=mx+b
Plug in a point and the slope:
-8 = (-11/2)(-8) + b
-8 = 44 + b
b = -52
y = -11/2x - 52
Answer:
-11/2x-52
Step-by-step explanation:
i know it is correct
Question 5 (1 point)
Answer:
B. [tex]\frac{d + 13}{d + 4}[/tex]
Hope this Helps :)
PLS HELP I WILL MARK BRAINLIEST (EDITED)
Step 2: Finding the area of triangles
a) The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below.
a rectangle with a line going from the upper left corner to the down right corner. at the left corner, under the line is 60. under the right corner, is 30. there is a square at the down left corner
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points)
Answer:
51.9
Step-by-step explanation:
because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).
The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
What is a right-angle triangle?"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".
For the given situation,
A rectangular door has a diagonal, d = 60
A rectangular door has a height, h = 30
When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.
The formula of Pythagoras theorem,
[tex]Hypotenuse^{2} = base^{2}+perpendicular^{2}[/tex]
[tex]Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} } \\[/tex]
On substituting the above values,
⇒ [tex]Base = \sqrt{60^{2}-30^{2} }[/tex]
⇒ [tex]Base=\sqrt{2700}[/tex]
⇒ [tex]Base=51.9[/tex]
The formula to find the area of a right-angle triangle, [tex]A = \frac{1}{2}(base)(height)[/tex]
⇒ [tex]A = \frac{1}{2}(51.9)(30)[/tex]
⇒ [tex]A=778.5[/tex]
Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
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A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
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Which describes the law of conservation of matter?
A. The total number of atoms cannot change during a reaction.
B. Chemical reactions cannot change reactants into products.
C. The reactants must have more atoms than the products.
D. A reaction has the same type of molecules before and after.
Answer: Choice A) the total number of atoms cannot change during a reaction
Matter cannot be created or destroyed. Instead, matter can be rearranged from one form to another. For example, boiling water turns the liquid into gas (steam) when it evaporates. The H2O molecules haven't been created or destroyed.
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
simplify x^2 + (y - 4)^2
